What two numbers multiply to 497 and add up to 78?

Here we answer the question: "What two numbers multiply to 497 and add up to 78?"

The answer to your question is:

7 and 71

Below we illustrate and prove that 7 and 71 multiply to 497 and add up to 78:

7 × 71 = 497
7 + 71 = 78

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² + 78x + 497 = 0

If so, the solution to factor the quadratic equation above is:

(x + 7 ) (x + 71)

To summarize, since 7 and 71 multiply to 497 and add up 78, you know that the following is true:

x² + 78x + 497 = (x + 7 ) (x + 71)

Multiply To One Number and Add Up To Another
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